What are the solutions to the equation completesquare 2x^2+2x+11 ?

The solutions to the equation completesquare 2x^2+2x+11 are 2(x+1/2)^2+21/2

Find the zeros of completesquare 2x^2+2x+11

The zeros of completesquare 2x^2+2x+11 are 2(x+1/2)^2+21/2

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complete the square

2 x^{2} + 2 x + 11

2 (x + \frac{1}{2})^{2} + \frac{21}{2}

Solution steps

2 x^{2} + 2 x + 11

Write

2 x^{2} + 2 x + 11

in the form:

x^{2} + 2 a x + a^{2}

Factor out

2

2 (x^{2} + x + \frac{11}{2})

2 a = 1 : a = \frac{1}{2}

Add and subtract

(\frac{1}{2})^{2}

2 (x^{2} + x + \frac{11}{2} + (\frac{1}{2})^{2} - (\frac{1}{2})^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 1 x + (\frac{1}{2})^{2} = (x + \frac{1}{2})^{2}

2 ((x + \frac{1}{2})^{2} + \frac{11}{2} - (\frac{1}{2})^{2})

Simplify

2 (x + \frac{1}{2})^{2} + \frac{21}{2}

u, p = \frac{u ^{2}}{r}

6 x^{2} - 50 = 3 x^{2} + 25

3 x (x - 2) = 6 x^{2} - 8 x

x^{2} - 3 x + 2 = 2 x - 3

5 x^{2} + 7 x = 5

What are the solutions to the equation completesquare 2x^2+2x+11 ?
The solutions to the equation completesquare 2x^2+2x+11 are 2(x+1/2)^2+21/2
Find the zeros of completesquare 2x^2+2x+11
The zeros of completesquare 2x^2+2x+11 are 2(x+1/2)^2+21/2